The second coefficient of the Alexander polynomial as a satellite obstruction
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911089202036736 |
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| author | Lewark, Lukas |
| author_facet | Lewark, Lukas |
| contents | A set L of links is introduced, containing positive braid links as well as arborescent positive Hopf plumbings. It is shown that for links in P, the leading and the second coefficient of the Alexander polynomial have opposite sign. It follows that certain satellite links, such as (n,1)-cables, are not in P. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03155 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The second coefficient of the Alexander polynomial as a satellite obstruction Lewark, Lukas Geometric Topology 57K10, 57K14 A set L of links is introduced, containing positive braid links as well as arborescent positive Hopf plumbings. It is shown that for links in P, the leading and the second coefficient of the Alexander polynomial have opposite sign. It follows that certain satellite links, such as (n,1)-cables, are not in P. |
| title | The second coefficient of the Alexander polynomial as a satellite obstruction |
| topic | Geometric Topology 57K10, 57K14 |
| url | https://arxiv.org/abs/2402.03155 |